Common Searches:
Office Location
Stratton Hall 206
Contact
Phone:
+1-508-831-5287
Email:
Education:
BS Instituto Tecnologico de Aeronautica, Brazil 1984
MS Pontificia Universidade Catolica-Rio de Janeiro, Brazil 1989
PhD Courant Institute, New York University, Advisor: Olof Widlund 1994
Postdoc University of Colorado at Boulder Advisors: Xiao-Chuan Cai and Charbel Farhat 1994-1998
Office Location
Stratton Hall 206
Contact
Phone:
+1-508-831-5287
Email:
Research Interests:
Numerical Analysis
Domain Decomposition
Finite Element Methods
Scholarly Work:
Dryja, Maksymilian; Galvis, Juan; Sarkis, Marcus The analysis of a FETI-DP preconditioner for a full DG discretization of elliptic problems in two dimensions. Numer. Math. 131 (2015), no. 4, 737–770
Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. Generalized multiscale finite element method. Symmetric interior penalty coupling. J. Comput. Phys. 255 (2013), 1–15
Dryja, Maksymilian; Galvis, Juan; Sarkis, Marcus A FETI-DP preconditioner for a composite finite element and discontinuous Galerkin method. SIAM J. Numer. Anal. 51 (2013), no. 1, 400–422
Galvis, Juan; Sarkis, Marcus Regularity results for the ordinary product stochastic pressure equation. SIAM J. Math. Anal. 44 (2012), no. 4, 2637-2665
Dryja, Maksymilian; Galvis, Juan; Sarkis, Marcus Neumann- Neumann methods for a DG discretization on geometrically nonconforming substructures. Numer. Methods Partial Differential Equations 28 (2012), no. 4, 1194–1226
Galvis, Juan; Sarkis, Marcus A deluxe FETI-DP preconditioner for a composite finite element and DG method. Comput. Methods Appl. Math. 15 (2015), no. 4, 465–482
Dryja, Maksymilian; Galvis, Juan; Sarkis, Marcus BDDC methods for discontinuous Galerkin discretization of elliptic problems. J. Complexity 23 (2007), no. 4-6, 715–739
Cai, Xiao-Chuan; Sarkis, Marcus A restricted additive Schwarz preconditioner for general sparse linear systems. SIAM J. Sci. Comput. 21 (1999), no. 2, 792–797
Sarkis, Marcus Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements. Numer. Math. 77 (1997), no. 3, 383–406
Dryja, Maksymilian; Sarkis, Marcus V.; Widlund, Olof B. Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions. Numer. Math. 72 (1996), no. 3, 313–348